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Finding the Fourth Proportional to 1,019.11, 1,529.91 and 672.74

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Solution

The fourth proportional to 1,019.11, 1,529.91 and 672.74 is: 1,009.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.11 : 1,529.91 = 672.74 : x
  2. Step 2: Convert to fraction form
    1,019.11/1,529.91 = 672.74/x
  3. Step 3: Cross multiply
    1,019.11x = 1,529.91 × 672.74
  4. Step 4: Simplify right side
    1,019.11x = 1,029,224.00
  5. Step 5: Solve for x
    x = 1,029,224.00/1,019.11
  6. Step 6: Final answer
    x = 1,009.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.